Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 31 - Electromagnetic Oscillations and Alternating Current - Problems - Page 937: 38a

Answer

$C = 8.0~\mu F$

Work Step by Step

We can see that resonance occurs when $\omega_d = 25,000~rad/s$ At resonance, $X_L = X_C$ We can find $C$: $X_L = X_C$ $\omega_d~L = \frac{1}{\omega_d~C}$ $C = \frac{1}{\omega_d^2~L}$ $C = \frac{1}{(25,000~rad/s)^2~(200\times 10^{-6}~H)}$ $C = 8.0~\mu F$
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